440023234000 has 480 divisors, whose sum is σ = 1282079504160. Its totient is φ = 145539072000.

The previous prime is 440023233989. The next prime is 440023234019. The reversal of 440023234000 is 432320044.

It can be written as a sum of positive squares in 16 ways, for example, as 439844851264 + 178382736 = 663208^2 + 13356^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 389745436 + ... + 389746564.

It is an arithmetic number, because the mean of its divisors is an integer number (2670998967).

Almost surely, 2^440023234000 is an apocalyptic number.

440023234000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440023234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641039752080).

440023234000 is an abundant number, since it is smaller than the sum of its proper divisors (842056270160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

440023234000 is a wasteful number, since it uses less digits than its factorization.

440023234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 440023234000 its reverse (432320044), we get a palindrome (440455554044).

The spelling of 440023234000 in words is "four hundred forty billion, twenty-three million, two hundred thirty-four thousand".